Unit Name 
ENGINEERING MATHEMATICS I 
Unit Code 
BSC101C 
Unit Duration 
1 Term (2 Terms for 24 week delivery*) 
Award 
Bachelor of Science (Engineering) Duration 3 years 
Year Level 
One 
Unit Creator/Reviewer 

Core/Elective 
Core 
Pre/Corequisites 
Nil 
Credit Points 
3 Total Course Credit Points 81 (27 x 3) 
Mode of Delivery 
Online or oncampus. 
Unit Workload 
(Total student workload including “contact hours” = 10 hours per week; 5 hours per week for 24 week delivery) Prerecordings / Lecture – 1.5 hours (0.75 hours for 24 week delivery) Tutorial – 1.5 hours (0.75 hours for 24 week delivery) Guided labs / Group work / Assessments – 2 hours (1 hour for 24 week delivery) Personal Study recommended – 5 hours (2.5 hours for 24 week delivery) 
This unit may be delivered over 24 weeks (2 Terms) because the nature of the content is deemed suitable (from a pedagogical perspective) for a longer duration than the standard 12 week (1 Term). In addition, these 24week duration Units require half the student workload hours, 5 hours per week, which allows the total load to be kept at 15 hours per week when combined with a typical 10 hours per week, 12week Unit. EIT has extensive data to demonstrate that if the load is higher than 15 hours per week the attrition rate for part time students dramatically increases.
This unit introduces the student to core mathematical concepts, processes and techniques necessary to support subsequent studies in Engineering. These concepts include, but are not limited to, the properties and engineering applications of linear, quadratic, logarithmic and exponential functions. The unit commences with linear equations and goes on to cover varied subjects including inequalities, functions, trigonometry, sequences, series, variation, ratio, proportion, algebraic functions, trigonometric ratios, trigonometric functions and applications. It rounds off with an introduction to differentiation and integration, followed by vectors, complex numbers and matrices. The topics in this unit are structured in such a manner that the student will be able to solve problems related to engineering applications by using these mathematical techniques.
On successful completion of this Unit, students are expected to be able to:
Detail mathematical concepts related to linear and absolute value inequalities
Solve linear and quadratic equations
Comprehend and apply the basics of functions and logarithms
Perform simple trigonometric calculations
Evaluate concepts related to sequences, series, variation, ratio and proportion
Solve algebraic equations
Use trigonometric ratios to solve mathematical problems
Apply vector principles
Perform calculations involving complex numbers
Use matrices and determinants to solve mathematical problems
Completing this unit may add to students professional development/competencies by:
Fostering personal and professional skills and attributes in order to:
Conduct work in a professionally diligent, accountable and ethical manner.
Effectively use oral and written communication in personal and professional domains.
Foster applicable creative thinking, critical thinking and problem solving skills.
Develop initiative and engagement in lifelong learning and professional development.
Enhance collaboration outcomes and performance in dynamic team roles.
Effectively plan, organise, selfmanage and manage others.
Professionally utilise and manage information.
Enhance technologist literacy and apply contextualised technologist skills.
Enhance investigatory and research capabilities in order to:
Develop an understanding of systematic, fundamental scientific, mathematic principles, numerical analysis techniques and statistics applicable to technologists.
Access, evaluate and analyse information on technologist processes, procedures, investigations and the discernment of technologist knowledge development.
Foster an indepth understanding of specialist bodies of knowledge, computer science, engineering design practice and contextual factors applicable to technologists.
Solve basic and openended engineering technologist problems.
Understand the scope, principles, norms, accountabilities and bounds associated with sustainable engineering practice.
Develop engineering application abilities in order to:
Apply established engineering methods to broadlydefined technologist problem solving.
Apply engineering technologist techniques, tool and resources.
Apply systematic technologist synthesis and design processes.
Systematically conduct and manage technologist projects, work assignments, testing and experimentation.
Engineers Australia
The Australian Engineering Stage 1 Competency Standards for Engineering Technologists, approved as of 2013. This table is referenced in the mapping of graduate attributes to learning outcomes and via the learning outcomes to student assessment.
Stage 1 Competencies and Elements of Competency 

1. 
Knowledge and Skill Base 
1.1 
Systematic, theory based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the technology domain. 
1.2 
Conceptual understanding of the, mathematics, numerical analysis, statistics, and computer and information sciences which underpin the technology domain. 
1.3 
Indepth understanding of specialist bodies of knowledge within the technology domain. 
1.4 
Discernment of knowledge development within the technology domain. 
1.5 
Knowledge of engineering design practice and contextual factors impacting the technology domain. 
1.6 
Understanding of the scope, principles, norms, accountabilities and bounds of sustainable engineering practice in the technology domain. 
2. 
Engineering Application Ability 
2.1 
Application of established engineering methods to broadlydefined problem solving within the technology domain. 
2.2 
Application of engineering techniques, tools and resources within the technology domain. 
2.3 
Application of systematic synthesis and design processes within the technology domain. 
2.4 
Application of systematic approaches to the conduct and management of projects within the technology domain. 
3. 
Professional and Personal Attributes 
3.1 
Ethical conduct and professional accountability. 
3.2 
Effective oral and written communication in professional and lay domains. 
3.3 
Creative, innovative and proactive demeanour. 
3.4 
Professional use and management of information. 
3.5 
Orderly management of self and professional conduct. 
3.6 
Effective team membership and team leadership. 
Graduate Attributes
Successfully completing this Unit will contribute to the recognition of attainment of the following graduate attributes aligned to the AQF Level 7 criteria, Engineers Australia Stage 1 Competency Standards for Engineering Technologists and the Sydney Accord:
Graduate Attributes (Knowledge, Skills, Abilities, Professional and Personal Development) 
EA Stage 1 Competencies 
Learning Outcomes 
A. Knowledge of Science and Engineering Fundamentals 

A1. Breadth of knowledge of engineering and systematic, theorybased understanding of underlying principles, and depth of knowledge across one or more engineering sub disciplines 
1.1, 1.3 
1, 2, 3, 4, 5, 6, 7, 8, 9, 10 
A2. Knowledge of mathematical, statistical and computer sciences appropriate for engineering technology 
1.2 
1, 2, 3, 4, 5, 6, 7, 8, 9, 10 
A3. Discernment of knowledge development within the technology domain 
1.4 
1, 2, 3, 4, 5, 6, 7, 8, 9, 10 
A4. Knowledge of engineering design practice and contextual factors impacting the technology domain 
1.5 

B. Problem Solving, Critical Analysis and Judgement 

B1. Ability to research, synthesise, evaluate and innovatively apply theoretical concepts, knowledge and approaches across diverse engineering technology contexts to effectively solve engineering problems 
1.4, 2.1, 2.3 

B2. Technical and project management skills to design complex systems and solutions in line with developments in engineering technology professional practice 
2.1, 2.2, 2.3, 3.2 

C. Effective Communication 

C1. Cognitive and technical skills to investigate, analyse and organise information and ideas and to communicate those ideas clearly and fluently, in both written and spoken forms appropriate to the audience 
3.2 

C2. Ability to engage effectively and appropriately across a diverse range of cultures 
3.2 

D. Design and Project Management 

D1. Apply systematic synthesis and design processes within the technology domain 
2.1, 2.2, 2.3 

D2. Apply systematic approaches to the conduct and management of projects within the technology domain 
2.4 

E. Accountability, Professional and Ethical Conduct 

E1. Innovation in applying engineering technology, having regard to ethics and impacts including economic; social; environmental and sustainability 
1.6, 3.1, 3.4 

E2. Professional conduct, understanding and accountability in professional practice across diverse circumstances including team work, leadership and independent work 
3.3, 3.4, 3.5, 3.6 
Unit Competency and Learning Outcome Map
This table details the mapping of the unit graduate attributes to the unit learning outcomes and the Australian Engineering Stage 1 Competency Standards for the Engineering Technologist.
Graduate Attributes 

A1 
A2 
A3 
A4 
B1 
B2 
C1 
C2 
D1 
D2 
E1 
E2 

Engineers Australia Stage 1 Competency Standards for Engineering Technologist 
1.1 


1.2 


1.3 


1.4 



1.5 


1.6 


2.1 




2.2 



2.3 




2.4 


3.1 


3.2 




3.3 


3.4 



3.5 


3.6 


Unit Learning Outcomes 
LO1 




LO2 




LO3 




LO4 




LO5 




LO6 




LO7 




LO8 




LO9 




LO10 



Assessment Type 
When assessed 
Weighting (% of total unit marks) 
Learning Outcomes Assessed 
Assessment 1 Type: Multichoice test / Group work / Short answer questions Example Topics: Arithmetic, Variation, Ratio and Proportion, Algebra, Simple Equations, Graphs, Simultaneous Equations, Trigonometry, Geometry, Quadratic equations Students may be asked to provide solutions to simple problems on various topics. 
Week 4 (Week 8 for 24 week delivery) 
15% 
2, 5, 6 
Assessment 2 Type: Multichoice test / Group work / Short answer questions Example Topics: Sequences and Series, Logarithms exponentials and Inequalities, Trigonometric Functions and Formulae Students may complete a quiz with MCQ type answers or solve some simple problems or solve problems using software. 
Week 7 (Week 14 for 24 week delivery) 
20% 
1, 3, 5, 7 
Assessment 3 Type: Multichoice test / Group work / Short answer questions / Practical Example Topic: Short problems on basic differentiation and integration and vectors 
Week 10 (Week 20 for 24 week delivery) 
20% 
8 
Assessment 4 Type: Examination Example Topic: All topics An examination with a mix of detailed report type questions and/or simple numerical problems to be completed in 3 hours 
Final Week 
40% 
1 to 10 
Attendance / Tutorial Participation Example: Presentation, discussion, group work, exercises, selfassessment/reflection, case study analysis, application. 
Continuous 
5% 
1 to 10 
Bird, J. Basic Engineering Mathematics, 6th edn, John Wiley & Sons, ISBN13: 9780 415662789.
Kreyszig, A 2012, Advanced Engineering Mathematics Student Solutions Manual, 10th edn, John Wiley & Sons, ISBN13: 9781118007402
Peer reviewed Journals
Knovel library: http://app.knovel.com
IDC Technologies publications
Other material and online collections as advised during the lectures
One topic is delivered per contact week, with the exception of parttime 24week units, where one topic is delivered every two weeks.
Basic Mathematics Review 1 (Mathematics Equation Editor Tools)
(Arithmetic, Variation, Ratio and Proportion)
BODMAS
Scientific notation, engineering notation
Ratios
Rates
Scale Diagrams
Direct Variation
Inverse Variation
(Algebra, Simple Equations, Graphs, Simultaneous Equations)
Indices, Brackets, Factorization
Solving simple linear equations
Graphing – axes, straight lines, gradients, proportionality
Simultaneous equations
Basic Mathematics Review 2 (Introductory Trigonometry)
Angles
Triangles
Pythagoras
Sine, cosine, tan
Trigonometric Ratios
Elevation and Depression
Non Right Angle Triangles
Circle – properties, arc length, equation
Graphing circles and the unit circle
Radians
Trigonometric Identities
(Introductory Geometry)
Common shapes
Area of common and complex shapes
Common 3D shapes
Volume of common and complex 3D shapes
Quadratic equations
Quadratic equations
Quadratic graphs
Factorization
Completing the square
Solving by formula
Practical problems
Sequences and Series
Sums vs sequences
Simple series (progression)
Arithmetic progression
Geometric progression
Pascal’s triangle
Permutation and combination
Binomial theorem
Graphing progressions
Power series
Logarithms exponentials and Inequalities
Logarithmic expression
Laws of logarithms
Natural (Naperian, hyperbolic) logarithms
Exponential functions
Graphing exponential functions
Logarithmic Equations
Application of Logarithms and exponential functions
Change of base
Inequalities and absolute values
Trigonometric Functions and Formulae
Trigonometric graphs
Period, amplitude, cycle, frequency
Lag and lead (phase displacement)
Trigonometric identities and formulae
Cartesian and polar coordinates
Introduction to differentiation
Basic principles of differentiation
Notation
Gradient curves
Differentiation of simple trigonometric functions
Differentiation of simple function
Rate of change
Introduction to integration
Basic principles integration
Standard integrals
Area under a curve – calculation and graph
Vectors and Scalars
Vectors and Scalars
Vector notation
Resolving vectors
Relative velocity
Vector Definitions and Components
Operations with Vectors
Vector Applications
Laws of Sines and Cosines
Complex Numbers
Imaginary numbers
Arithmetic of complex numbers
The Argand diagram and polar form of a complex number
The exponential form of a complex number
De Moivre's theorem
Solving equations and finding roots of complex numbers
Phasors
Matrices, determinants and multivariable functions 1
Introduction to matrices
Multiplication of matrices
Determinants
The inverse of a matrix
Multivariable functions
Multivariable calculus
Vector valued functions
Parameterization
Matrices, determinants and multivariable functions 2
Matrix form trigonometric identities
Cramer's rule
Using the inverse matrix to solve simultaneous equations
Gaussian elimination
lterative techniques
Exam revision
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